2012.29: K-theory and the connection index
2012.29: Tayyab Kamran and Roger Plymen (2012) K-theory and the connection index.
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Abstract
Let G denote a split simply connected almost simple p-adic group. The classical example is the special linear group SL(n). We study the K-theory of the unramified unitary principal series of G and prove that the rank of K_0 is the connection index f(G). We relate this result to a recent refinement of the Baum-Connes conjecture, and show explicitly how generators of K_0 contribute to the K-theory of the Iwahori C*-algebra.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Local field, p-adic group, connection index, K-theory |
| Subjects: | MSC 2000 > 19 K-theory MSC 2000 > 22 Topological groups, Lie groups |
| MIMS number: | 2012.29 |
| Deposited By: | Professor Roger Plymen |
| Deposited On: | 19 February 2012 |
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